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Simplifying 2z + -9(6 + -2z) + -4(9z) = 0 2z + (6 * -9 + -2z * -9) + -4(9z) = 0 2z + (-54 + 18z) + -4(9z) = 0 Remove parenthesis around (9z) 2z + -54 + 18z + -4 * 9z = 0 Multiply -4 * 9 2z + -54 + 18z + -36z = 0 Reorder the terms: -54 + 2z + 18z + -36z = 0 Combine like terms: 2z + 18z = 20z -54 + 20z + -36z = 0 Combine like terms: 20z + -36z = -16z -54 + -16z = 0 Solving -54 + -16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -16z = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -16z = 0 + 54 -16z = 0 + 54 Combine like terms: 0 + 54 = 54 -16z = 54 Divide each side by '-16'. z = -3.375 Simplifying z = -3.375
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